1. Equations & Inequalities

List all numbers that must be excluded from the domain of each rational expression. 3/(2x² + 4x - 9)

Solve each equation by the method of your choice. 1/(x² - 3x + 2) = 1/(x + 2) + 5/(x² - 4)

Solve each equation by the method of your choice. √2 x² + 3x - 2√2 = 0

Solve each equation in Exercises 83–108 by the method of your choice. 3/(x - 3) + 5/(x - 4) = (x² - 20)/(x² - 7x + 12)

Solve each equation in Exercises 15–34 by the square root property. (x + 2)² = 25

Solve each equation in Exercises 65–74 using the quadratic formula. x² - 6x + 10 = 0

Solve each equation in Exercises 15–34 by the square root property. (2x + 8)² = 27

Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)

Solve each equation in Exercises 1 - 14 by factoring. $2x(x-3)=5x^2-7x$

Solve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)

Solve each equation in Exercises 47–64 by completing the square. $x^2+6x=7$

Solve each equation in Exercises 47–64 by completing the square. $x^2-2x=2$

Solve each equation in Exercises 47–64 by completing the square. $2x^2-7x+3=0$

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $x^2-4x-5=0$

Solve each equation in Exercises 83–108 by the method of your choice. $5x^2+2=11x$